Zad. 1
a) 1/√3 × √3/√3 = √3/3
b) 2/√5 × √5/√5 = 2√5/5
c) 1/2√2 × √2/√2 = √2/4
d) 2/3√5 × √5/√5 = 2√5/15
e) √3/√5 × √5/√5 = √15/5
f) 4√2/√3 × √3/√3 = 4√6/3
Zad. 2
a) 3/√15 × √15/√15 = 3√15/15 = √15/5
3/√15 = √15/5
b) 4/√8 × √8/√8 = 4√8/8 = √8/2 = 2√2/2 = √2
2√8 ≠ √2
c) 3/(√3×√6) = 3/√18 × √18/√18 = 3√18/18 = √18/6 = 3√2/6 = √2/2
½√2 = √2/2
½√2 = 3/(√3×√6)
Zad. 3
a) 8/√2 × √2/√2 = 8√2/2 = 4√2 = 4×1,41 ≈ 5,6
b) 6/√8 × √8/√8 = 6√8/8 = 3√8/4 = 6√2/4 = 3√2/2 = 3×1,41/2 ≈ 2,1
c) 10/√2 × √2/√2 = 10√2/2 = 5√2 = 5×1,41 ≈ 7
